Equation 6 · Part 3 · Dense, Sparse, and Distilled: Comparing Approaches to Frontier Model Capacity
∝
∝
What this part means
Proportional to; the scale factor is not shown.
Its job in the formula
Proportional to; the scale factor is not shown.
Full expression→∝→Article meaning
The passage around this formula
Fix the vocabulary first. Let N be total parameters, the parameters actually used to process a given token, D training tokens, and M the memory that must be resident to serve. For the dense decoder-only transformer that remains the default architecture [ 1 ] , = N and M N . Every method below breaks one of those two identities, and which one it breaks determines what it is good for.
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.